Evaluate this complex number square root:
√-2 + 6i
√a + bi:
root1 = x + yi
root2 = -x - yi
r = √a2 + b2
r = √-22 + 62
r = √4 + 36
r = √40
r = 6.3245553203368
y = √½(r-a)
y = √½(6.3245553203368 - -2)
y = √½(8.3245553203368)
y = √4.1622776601684
y = 2.0401660864176
x = | b |
2y |
x = | 6 |
2(2.0401660864176) |
x = | 6 |
4.0803321728351 |
x = 1.4704685172313